She had been studying health and social care at Runshaw College in Leyland, Lancashire.
The wounded are being treated at eight hospitals around the city, with 12 children under the age of 16 among them.
Several people are still missing, including teenagers Laura MacIntyre and Eilidh MacLeod, from Barra in the Outer Hebrides, 15-year-old Olivia Campbell, Chloe Rutherford, 17, and Liam Curry, 19.
Scotlands First Minister Nicola Sturgeon said police were in contact with Laura and Eilidhs families, adding: "It is hard for any of us to imagine the anguish that their families are going through right now.
"They are in our thoughts."
The blast happened close to the entrance to Victoria railway and tram station. The station has been closed and all trains cancelled.
Greater Manchester Mayor Andy Burnham said the city would "pull together", adding: "Thats what we are. Thats what we do. They wont win."
The Manchester Arena is the citys largest indoor venue with a concert capacity of about 21,000.
A spokesman for the arena called the event "a senseless tragedy", but praised the emergency services for their response.